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    Question

    A circular park has an inner radius of 28 metres. A

    track of width 7 metres surrounds the park. Find the cost of levelling the track at the rate of Rs. 3 per square metre.
    A Rs. 3960 Correct Answer Incorrect Answer
    B Rs. 4158 Correct Answer Incorrect Answer
    C Rs. 4200 Correct Answer Incorrect Answer
    D Rs. 4320 Correct Answer Incorrect Answer

    Solution

    Outer radius = 28 + 7 = 35 metres Area of outer circle = π × 35²
    = (22/7) × 1225
    = 3850 m² Area of inner circle = π × 28²
    = (22/7) × 784
    = 2464 m² Area of the track = 3850 − 2464
    = 1386 m² Therefore, cost of levelling the track = 1386 × 3
    = Rs. 4158

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